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Journal of Materials Science
Published in: Journal of Materials Science 6/2014

01-03-2014

Generalized additivity rule and isokinetics in diffusion-controlled growth

Authors: S. J. Song, F. Liu, Y. H. Jiang

Published in: Journal of Materials Science | Issue 6/2014

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Abstract

Validity of traditional additivity rule in diffusion-controlled growth is discussed. This process has a memory of thermal history due to temperature-dependent interface concentrations. When the thermodynamics is involved, the application of additivity rule should be carefully considered. By introducing a thermal history-related function, generalized isokinetic hypothesis and additivity rule involving the thermal history-dependent instantaneous reaction rate are proposed. According to the exact solutions of diffusion-controlled growth, the generalized additivity rule is analyzed, discussed, and applied well.
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Metadata
Title
Generalized additivity rule and isokinetics in diffusion-controlled growth
Authors
S. J. Song
F. Liu
Y. H. Jiang
Publication date
01-03-2014
Publisher
Springer US
Published in
Journal of Materials Science / Issue 6/2014
Print ISSN: 0022-2461
Electronic ISSN: 1573-4803
DOI
https://doi.org/10.1007/s10853-013-7964-7

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